Carol sold 1/4 as many magazines as Tom. If together they sold 35 magazines, how many did each sell?

C=carol

t=tom

carol sold 1/4 of tom

c=1/4t

c=t/4

together they sold 35

c+t=35

subsitute t/4 for c

t/4+t=35

multiply both sides by 4

t+4t=140

5t=140

divide both sides by 5

t=28

sub back

c=t/4

c=28/4

c=7

carol sold 7

tom sold 28